Oscillation in neutral equations with an “integrally small” coefficient. (1994)

• Record Type: Journal Article
• Authors: Yu, J. S.; Chen, Ming-Po
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 17:Number 2(1994)
• Page Start: 361
• Page End: 368
• Publication Date: 1994
• Subjects: neutral equations -- “integrally small” coefficient -- oscillation; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171294000505
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : Consider the neutral delay differential equationd d t [ x ( t ) − P ( t ) x ( t − τ ) ] + Q ( t ) x ( t − δ ) = 0, t ≥ t 0 ( * ) WhereP, Q ∈ C ( [ t 0, ∞ ], R + ), τ ∈ ( 0, ∞ ) andδ ∈ R + . We obtain several sufficient conditions for the oscillation of all solutions of Eq. (*) without the restriction∫ t 0 ∞ Q ( s ) d s = ∞ .